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Finding the Fourth Proportional to 5.90, 8.90 and 5.83

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Solution

The fourth proportional to 5.90, 8.90 and 5.83 is: 8.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.90 : 8.90 = 5.83 : x
  2. Step 2: Convert to fraction form
    5.90/8.90 = 5.83/x
  3. Step 3: Cross multiply
    5.90x = 8.90 × 5.83
  4. Step 4: Simplify right side
    5.90x = 51.89
  5. Step 5: Solve for x
    x = 51.89/5.90
  6. Step 6: Final answer
    x = 8.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.